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Paper Citation Record · LEDGER

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs

As of 22 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2506.04524.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.04524 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:52:50.416822Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

29 of 29 outbound references displayed

  • verified exact2
  • verified fuzzy27
  • unresolved0
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3a713d28-08a3-44c6-9d86-2662f51fd33c · outbound

This paper cites Coresets meet edcs: algorithms for matching and vertex cover on massive graphs.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Coresets meet edcs: algorithms for matching and vertex cover on massive graphs

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.707025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.333130Z digest=sha256:ace37358e20bce528aeaaf45b8913ab31961722c509a91e9809078e90103f1b6

Observation b96465d0-bd55-4304-948c-b6b82a7b3076 · outbound

This paper cites Distributed load balancing: A new framework and improved guarantees.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Distributed load balancing: A new framework and improved guarantees

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.698171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.336801Z digest=sha256:509bb05cf62f2d5912023bb84eb32a22d30b0c085d42ce78b1d092ebca6d2a74

Observation e0c97053-57a3-4581-a61f-3fdcf5a70db0 · outbound

This paper cites Online ad allocation in bounded-degree graphs.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Online ad allocation in bounded-degree graphs

Reference 3

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raw_fallback, observed 2026-08-07T10:52:50.689428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation e15f2855-5180-4fce-b275-ad18d2d170d0 · outbound

This paper cites Mirrokni.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Mirrokni

Reference 4

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.343284Z digest=sha256:f77e5937625b3828fc7ad65c877946eb62d670d8afc42fe480a490560393083a

Observation 4843e840-4743-4b3a-9abf-536ccc9d5ee4 · outbound

This paper cites Karp, and Jara Uitto.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Karp, and Jara Uitto

Reference 5

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raw_fallback, observed 2026-08-07T10:52:50.672384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.346770Z digest=sha256:2000a7e53f04c5cd327301c50b4400f0f7e83450b775ab6dd398caf2cad864e9

Observation b5de92fa-2973-4543-94e7-74e2e2522176 · outbound

This paper cites Exponentially faster massively parallel maximal matching.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Exponentially faster massively parallel maximal matching

Reference 6

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raw_fallback, observed 2026-08-07T10:52:50.663379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.350146Z digest=sha256:6c96ec8a315a06ac67cab86589a66f472c243b7545bcabccc0fb29891aea3798

Observation 1ba20167-ff41-4e43-b957-7f53106e6040 · outbound

This paper cites Balseiro, Haihao Lu, and Vahab Mirrokni.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Balseiro, Haihao Lu, and Vahab Mirrokni

Reference 7

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verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.655073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.353897Z digest=sha256:c03b2fb6f949e910a2705c29b8cc027883179d87772a9daf972618c14619f204

Observation 3eeb4e95-f9f0-4cb3-8b25-4a4a4e755364 · outbound

This paper cites Component stability in low-space massively parallel computation.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Component stability in low-space massively parallel computation

Reference 8

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raw_fallback, observed 2026-08-07T10:52:50.646555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.356911Z digest=sha256:50bed4b82d9c0b36c84004af140cb97cc0d07cabc69916fa6ab468149f0c1e56

Observation 644fa4b4-8bf9-492a-90a0-76e3839c32b7 · outbound

This paper cites Round compression for parallel matching algorithms.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Round compression for parallel matching algorithms

Reference 9

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raw_fallback, observed 2026-08-07T10:52:50.637839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.359846Z digest=sha256:c63efc73dc29d6fee3cac5d01eb5996d802f6efd2f9eaed2bcb581ee2b2398a5

Observation a5f7013c-4b1a-42d9-b9e4-524da8a0b341 · outbound

This paper cites Parallel set cover and hypergraph matching via uniform random sampling.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Parallel set cover and hypergraph matching via uniform random sampling

Reference 10

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verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.629479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.362596Z digest=sha256:fc143024aeffba129ea1ba75de61a6e8a502c0ee00ea71570ef778f57e955942

Observation e6e596e1-c2d9-4b01-9acd-f1e3c24cbbc7 · outbound

This paper cites Mapreduce: simplified data processing on large clusters.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Mapreduce: simplified data processing on large clusters

Reference 11

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verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.620707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 305e2234-7cf3-407a-aa88-e6fdaff38cd6 · outbound

This paper cites Devanur, Kamal Jain, Balasubramanian Sivan, and Christopher A.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Devanur, Kamal Jain, Balasubramanian Sivan, and Christopher A

Reference 12

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verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.611842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.368519Z digest=sha256:fa7d46ea3d6b707c2fdce1e08312276710e89a6cf1e6ebd301ede9bf7e55cf82

Observation 69e4e3d8-c825-4185-a648-ea67dfb2346c · outbound

This paper cites Dickerson, Karthik A.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Dickerson, Karthik A

Reference 13

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raw_fallback, observed 2026-08-07T10:52:50.602738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.371446Z digest=sha256:de9d6812cb3770db55a05d44668f0aa331cf2d9b48f4bd1eac82f7daa73b0ce3

Observation 333a4d0c-5da0-4d3f-a63e-f8723e883e94 · outbound

This paper cites Online ad assignment with free disposal.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Online ad assignment with free disposal

Reference 14

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verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.593674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.374261Z digest=sha256:951ad749f415c99abc5df8ade9d103183b5258aa1252c4116c43aceff2405bf3

Observation 2a9a3230-909a-4edd-9584-52ebe1d3cede · outbound

This paper cites Improved MPC Algorithms for MIS, Matching, and Coloring on Trees and Beyond.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Improved MPC Algorithms for MIS, Matching, and Coloring on Trees and Beyond

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.584616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.377061Z digest=sha256:6df109fc9cb21853b5110b4b932d5401c6587590673e072c4836f107c4c8ec41

Observation 3c2dd6b4-a028-45eb-a7aa-111847d0c1a0 · outbound

This paper cites Improved massively parallel computation algorithms for mis, matching, and vertex cover.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Improved massively parallel computation algorithms for mis, matching, and vertex cover

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.575769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.379684Z digest=sha256:259f1ec9f7df8490668fac7b5882d89ca8660427ffed7edbe1a9302a4ff06326

Observation da087578-fa0b-44ff-8f4e-4ed74a07f251 · outbound

This paper cites Massively parallel algorithms for b-matching.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Massively parallel algorithms for b-matching

Reference 17

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raw_fallback, observed 2026-08-07T10:52:50.567141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.382307Z digest=sha256:1a680548d13c98f505c25f277ac5c05a5408d8951bc7ac6951c8c15a4bf55dac

Observation 8f6664d6-f26f-44f1-b48e-73c283e92970 · outbound

This paper cites Conditional hardness results for massively parallel computation from distributed lower bounds.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Conditional hardness results for massively parallel computation from distributed lower bounds

Reference 18

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raw_fallback, observed 2026-08-07T10:52:50.557680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.384979Z digest=sha256:42c8045c468c4593839ea62f0798efc486394030f4611c00beb9ddebd18f5838

Observation 35459f69-c667-453a-aa7d-3cefaafa8d18 · outbound

This paper cites Sorting, searching, and simulation in the mapreduce framework.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Sorting, searching, and simulation in the mapreduce framework

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.548336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.387685Z digest=sha256:6cc58e9c3630be620e1502108e141afb8fa3facce52e5997e347ea389f2beb8b

Observation c6f3d01e-8512-49d3-82c6-f7c5d4aff6ce · outbound

This paper cites Sparsifying distributed algorithms with ramifications in massively parallel computation and centralized local computation.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Sparsifying distributed algorithms with ramifications in massively parallel computation and centralized local computation

Reference 20

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verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.539199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 1dbf4d45-75fa-4e99-9d45-858dc5145526 · outbound

This paper cites Mirrokni, and Morteza Zadimoghaddam.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Mirrokni, and Morteza Zadimoghaddam

Reference 21

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raw_fallback, observed 2026-08-07T10:52:50.530087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.393244Z digest=sha256:63315435c9a1ea048ea87d4cbe64ceed803c2b1129e9382e731ce15f4ecfef87

Observation 9e617132-6eab-4f5a-a785-bbcc389a5da0 · outbound

This paper cites A model of computation for mapreduce.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs A model of computation for mapreduce

Reference 22

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raw_fallback, observed 2026-08-07T10:52:50.520477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.396079Z digest=sha256:a1b33ad236d7e17aa7467f20c2422fbfae8e7a34f2186cc9614c92b55c8bfc3a

Observation 63c0f1ae-1905-410e-9f2e-c80027c6086c · outbound

This paper cites Scalable Auction Algorithms for Bipartite Maximum Matching Problems.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Scalable Auction Algorithms for Bipartite Maximum Matching Problems

Reference 23

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verified exact
local_arxiv, observed 2026-08-07T10:52:50.465034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.398844Z digest=sha256:96913fc23b386acff97f30e482de048c0882b2d56c93800be6917b1b24dcaefa

Observation 30f13389-d7ba-4175-ab25-387b7f689966 · outbound

This paper cites Filtering: a method for solving graph problems in mapreduce.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Filtering: a method for solving graph problems in mapreduce

Reference 24

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raw_fallback, observed 2026-08-07T10:52:50.511384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.402128Z digest=sha256:92f52e12f558699c33e7fa411f9519b4d67a6f2d3664654d79525fb9ecb57254

Observation 12f73375-61e4-422b-b52b-438ebd3a4d4b · outbound

This paper cites Brief announcement: Exponential speed-up of local algorithms using non-local communication.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Brief announcement: Exponential speed-up of local algorithms using non-local communication

Reference 25

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raw_fallback, observed 2026-08-07T10:52:50.502231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.404976Z digest=sha256:f44199d6841e0f641958838cdab3ab01e32c296d5b0d17f01d21ca3d8945e8c0

Observation c761bf3b-cbe0-49e5-b4b7-ee59f3890e4e · outbound

This paper cites Adwords and generalized online matching.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Adwords and generalized online matching

Reference 26

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raw_fallback, observed 2026-08-07T10:52:50.493122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.407484Z digest=sha256:f5336596b719f64a28d616016712ef1561e010dd8df4d33ea1b0db3615a16c20

Observation 0bedf720-cf2e-4c03-8ba9-4e9fb8dcab1e · outbound

This paper cites Optimal online assignment with forecasts.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Optimal online assignment with forecasts

Reference 27

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verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.483781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.410463Z digest=sha256:1c527a46a37b4c720e284e8b5c94177dea43b2712e0ce5766c5c4ef41defb729

Observation 8a5098b1-a7aa-47ee-abf8-c7e675ff5b5e · outbound

This paper cites Socially enabled wireless networks: Resource allocation via bipartite graph matching.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Socially enabled wireless networks: Resource allocation via bipartite graph matching

Reference 28

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verified fuzzy
raw_fallback, observed 2026-08-07T10:52:50.474445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.413484Z digest=sha256:1a26b74bcdcfcac51545e2c1e8ef709f7e37fdcdb2cc0066996fd4848c4a2ca8

Observation 4109daae-dfab-4670-82f3-cd1228246363 · outbound

This paper cites Learning Robust Algorithms for Online Allocation Problems Using Adversarial Training.

Faster MPC Algorithms for Approximate Allocation in Uniformly Sparse Graphs Learning Robust Algorithms for Online Allocation Problems Using Adversarial Training

Reference 29

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verified exact
local_arxiv, observed 2026-08-07T10:52:50.450204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T10:52:50.416822Z digest=sha256:b78f3985d5edb1dc3d1ffca4065ac399ced2ccfdcb18fad5b8755523ed28cd9f

Pith citing papers

No inbound Pith citation observations are available.